2

The first is still correct, and can be evaluated at any position. The second is true only at broadside, when $\theta=0$. In your attempts, do you find that $\vec{E}_{total}$ is the same in all directions? Then you are doing something else wrong, or $d \ll {2\pi\over{\lambda}}$ Or are you accidentally including the $e^{-j{Phase}}$ in the individual element ...


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